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Finding the Fourth Proportional to 9,865.10, 13,604.81 and 7,711.93

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Solution

The fourth proportional to 9,865.10, 13,604.81 and 7,711.93 is: 10,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.10 : 13,604.81 = 7,711.93 : x
  2. Step 2: Convert to fraction form
    9,865.10/13,604.81 = 7,711.93/x
  3. Step 3: Cross multiply
    9,865.10x = 13,604.81 × 7,711.93
  4. Step 4: Simplify right side
    9,865.10x = 104,919,342.38
  5. Step 5: Solve for x
    x = 104,919,342.38/9,865.10
  6. Step 6: Final answer
    x = 10,635.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.